504554384880 has 400 divisors, whose sum is σ = 2156792831424. Its totient is φ = 106455306240.

The previous prime is 504554384839. The next prime is 504554384881. The reversal of 504554384880 is 88483455405.

504554384880 is a `hidden beast` number, since 5 + 0 + 4 + 554 + 3 + 8 + 4 + 8 + 80 = 666.

It is a super-2 number, since 2×504554384880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504554384881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161860 + ... + 1017500.

Almost surely, 2^504554384880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504554384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078396415712).

504554384880 is an abundant number, since it is smaller than the sum of its proper divisors (1652238446544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

504554384880 is a wasteful number, since it uses less digits than its factorization.

504554384880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855686 (or 855671 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 504554384880 in words is "five hundred four billion, five hundred fifty-four million, three hundred eighty-four thousand, eight hundred eighty".